Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem
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PhysRevLett.121.026403.pdf
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Author(s) •
Shen, Huitao
Fu, Liang
Date Issued
July 2018
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Shen, Huitao and Liang Fu. "Quantum Oscillation from In-Gap States and a Non-Hermitian Landau Level Problem." Physical Review Letters 121 (2018), 026403.
Version
Final published version
Abstract
Motivated by recent experiments on Kondo insulators, we theoretically study quantum oscillations from disorder-induced in-gap states in small-gap insulators. By solving a non-Hermitian Landau level problem that incorporates the imaginary part of electron’s self-energy, we show that the oscillation period is determined by the Fermi surface area in the absence of the hybridization gap, and we derive an analytical formula for the oscillation amplitude as a function of the indirect band gap, scattering rates, and temperature. Over a wide parameter range, we find that the effective mass is controlled by scattering rates, while the Dingle factor is controlled by the indirect band gap. We also show the important effect of scattering rates in reshaping the quasiparticle dispersion in connection with angle-resolved photoemission measurements on heavy fermion materials.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.121.026403